"Infinity is a transfinite ordinal number" is a lot more definitive of a claim than you can justify making. There are different systems and they use different infinite quantities. Nonstandard analysis doesn't bother with ordinal numbers, but it has plenty of infinite numbers.
"Infinity" without further specification seems more likely to refer to the concept in the extended reals (where there are exactly two infinite numbers) than to refer to the concept of infinite ordinal numbers. The obvious analysis would appear to be that, not being an integer, it cannot be considered either even or odd, but there might be a convention I don't know about.
layer8|3 years ago
thaumasiotes|3 years ago
"Infinity" without further specification seems more likely to refer to the concept in the extended reals (where there are exactly two infinite numbers) than to refer to the concept of infinite ordinal numbers. The obvious analysis would appear to be that, not being an integer, it cannot be considered either even or odd, but there might be a convention I don't know about.
Zecc|3 years ago
nigamanth|3 years ago